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Finding the Fourth Proportional to 1,987.34, 2,980.33 and 754.45

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Solution

The fourth proportional to 1,987.34, 2,980.33 and 754.45 is: 1,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.34 : 2,980.33 = 754.45 : x
  2. Step 2: Convert to fraction form
    1,987.34/2,980.33 = 754.45/x
  3. Step 3: Cross multiply
    1,987.34x = 2,980.33 × 754.45
  4. Step 4: Simplify right side
    1,987.34x = 2,248,500.63
  5. Step 5: Solve for x
    x = 2,248,500.63/1,987.34
  6. Step 6: Final answer
    x = 1,131.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.